Movatterモバイル変換


[0]ホーム

URL:


Jump to content
WikipediaThe Free Encyclopedia
Search

11 (number)

From Wikipedia, the free encyclopedia
This article is about the number. For other uses, see11 (disambiguation).

11 (eleven) is thenatural number following10 and preceding12. It is the smallest number whose name in English has three syllables.

Natural number
← 1011 12 →
Cardinaleleven
Ordinal11th
(eleventh)
Numeral systemundecimal
Factorizationprime
Prime5th
Divisors1, 11
Greek numeralΙΑ´
Roman numeralXI,xi
Greekprefixhendeca-/hendeka-
Latinprefixundeca-
Binary10112
Ternary1023
Senary156
Octal138
DuodecimalB12
HexadecimalB16
Bangla১১
Hebrew numeralי"א
Devanagari numerals११
Malayalam൰൧
Tamil numeralsகக
Telugu౧౧
Babylonian numeral𒌋𒐕

Name

[edit]

"Eleven" derives from theOld Englishęndleofon, which is first attested inBede's late 9th-centuryEcclesiastical History of the English People.[2][3] It has cognates in everyGermanic language (for example, Germanelf), whoseProto-Germanic ancestor has beenreconstructed as*ainalifa-,[4] from the prefix*aina- (adjectival "one") and suffix*-lifa-, of uncertain meaning.[3] It is sometimes compared with theLithuanianvienúolika, though-lika is used as the suffix for all numbers from 11 to 19.[3]

TheOld English form has closer cognates inOld Frisian,Saxon, andNorse, whose ancestor has been reconstructed as*ainlifun. This was formerly thought to be derived from Proto-Germanic*tehun ("ten");[3][5] it is now sometimes connected with*leikʷ- or*leip- ("left; remaining"), with the implicit meaning that "one is left" after counting to ten.[3]

Mathematics

[edit]

11 is aprime number, and asuper-prime. 11 forms atwin prime with13,[6] andsexy pair with 5 and 17. 11 is also the first prime exponent that does not yield aMersenne prime. 11 is part of a pair ofBrown numbers. Only three such pairs of numbers are known.[7] Rows inPascal's triangle can be seen as representation ofpowers of 11.[8]

Geometry

[edit]
Copper engraving of ahendecagon, by Anton Ernst Burkhard von Birckenstein (1698)

An 11-sidedpolygon is called ahendecagon, orundecagon. A regular hendecagon is the polygon with the fewest number of sides that is not able to be constructed with a straightedge, compass, andangle trisector.[9]

TheMathieu groupM11{\displaystyle \mathrm {M} _{11}} is the smallest of twenty-sixsporadic groups. It hasorder7920=2432511=891011{\displaystyle 7920=2^{4}\cdot 3^{2}\cdot 5\cdot 11=8\cdot 9\cdot 10\cdot 11}, with 11 as its largest prime factor.M11{\displaystyle \mathrm {M} _{11}} is themaximal subgroup Mathieu groupM12{\displaystyle \mathrm {M} _{12}}, where 11 is also its largest prime factor.[citation needed]

List of basic calculations

[edit]
Multiplication123456789101112131415161718192025501001000
11 ×x112233445566778899110121132143154165176187198209220275550110011000
Division123456789101112131415
11 ÷x115.53.62.752.21.831.5714281.3751.21.110.9160.8461530.78571420.73
x ÷ 110.090.180.270.360.450.540.630.720.810.9011.091.181.271.36
Exponentiation1234567891011
11x11121133114641161051177156119487171214358881235794769125937424601285311670611
x11120481771474194304488281253627970561977326743858993459231381059609100000000000285311670611

Music

[edit]
See also:Eleven (disambiguation) § Music

The interval of anoctave plus a fourth is an11th. A complete 11th chord has almost every note of adiatonic scale.

Cultural references

[edit]

Film

[edit]

In themockumentary film "This Is Spinal Tap", the idiomatic phraseup to eleven is coined to allude to going beyond typical limits, in this case guitar amplifier volume levels.

"Eleventh hour"

[edit]

Being one hour before 12:00, theeleventh hour means the last possible moment to take care of something, and often implies a situation of urgent danger or emergency (seeDoomsday clock). "The eleventh hour" is a phrase in theParable of the Workers in the Vineyard in the Bible.

Eleventh Night

[edit]
Main article:Eleventh Night

InProtestant communities inNorthern Ireland, bonfires are lit to mark the eve of ProtestantWilliam III of England's victory over theCatholicJames II of England at theBattle of the Boyne.

Languages

[edit]

While 11 has its own name in Germanic languages such as English, German, or Swedish, and some Latin-based languages such as Spanish, Portuguese, and French, it is the first compound number in many other languages: Chinese十一shí yī, Korean열하나yeol hana or십일ship il.

In Basque,hamaika, "11", alsomeans "a lot".[10]

Mysticism

[edit]

The number 11 (alongside its multiples 22 and 33) are master numbers innumerology, especially inNew Age.[11]

Religion

[edit]

In theBible,Joseph has 11 brothers.

Science

[edit]

TheSolar cycle is a periodic 11-year change in the Sun's activity.


References

[edit]
  1. ^Bede,Eccl. Hist., Bk. V, Ch. xviii.
  2. ^Specifically, in the lineOsred ðæt rice hæfde endleofan wintra.[1]
  3. ^abcdeOxford English Dictionary, 1st ed. "eleven,adj. andn." Oxford University Press (Oxford), 1891.
  4. ^Kroonen, Guus (2013).Etymological Dictionary of Proto-Germanic. Leiden: Brill. p. 11f.ISBN 978-90-04-18340-7.
  5. ^Dantzig, Tobias (1930),Number: The Language of Science.
  6. ^Sloane, N. J. A. (ed.)."Sequence A001359 (Lesser of twin primes.)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved2023-01-22.
  7. ^Weisstein, Eric W."Brocard's Problem".MathWorld. Retrieved24 July 2025.
  8. ^Mueller, Francis J. (1965). "More on Pascal's Triangle and powers of 11".The Mathematics Teacher.58 (5):425–428.doi:10.5951/MT.58.5.0425.JSTOR 27957164.
  9. ^Gleason, Andrew M. (1988)."Angle trisection, the heptagon, and the triskaidecagon".American Mathematical Monthly.95 (3).Taylor & Francis, Ltd:191–194.doi:10.2307/2323624.JSTOR 2323624.MR 0935432.S2CID 119831032.
  10. ^"hamaika".Orotariko Euskal Hiztegia (in Spanish). Retrieved25 September 2025.(Con valor indeterminado). Muchos. (Usado siempre con decl. indet.: en esta acepción el vb. concuerda tanto en pl. como, quizá algo más frecuentemente, en sing.).
  11. ^Sharp, Damian (2001).Simple Numerology: A Simple Wisdom book (A Simple Wisdom Book series). Red Wheel. p. 7.ISBN 978-1-57324-560-9.

External links

[edit]
Wikimedia Commons has media related to11 (number).

Grimes, James."Eleven".Numberphile.Brady Haran. Archived fromthe original on 2017-10-15. Retrieved2016-01-03.


0 to 199
200 to 399
400 to 999
1000s and 10,000s
1000s
10,000s
100,000s to 10,000,000,000,000s
Authority control databases: NationalEdit this at Wikidata
Retrieved from "https://en.wikipedia.org/w/index.php?title=11_(number)&oldid=1337372244"
Categories:
Hidden categories:

[8]ページ先頭

©2009-2026 Movatter.jp